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Finding the Third Proportional to 158,366,911 and 331,213,382

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Solution

The third proportional to 158,366,911 and 331,213,382 is: 692,709,756.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,366,911 : 331,213,382 = 331,213,382 : x
  2. Step 2: Convert to fraction form
    158,366,911/331,213,382 = 331,213,382/x
  3. Step 3: Cross multiply
    158,366,911x = 331,213,382 × 331,213,382
  4. Step 4: Simplify right side
    158,366,911x = 109,702,304,415,877,920
  5. Step 5: Solve for x
    x = 109,702,304,415,877,920/158,366,911
  6. Step 6: Final answer
    x = 692,709,756.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.